An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Textbook Question
Chapter 8.1, Problem 1PQ
What is the difference between the law of charges and Columb's law?
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 8 Solutions
An Introduction to Physical Science
Ch. 8.1 - What is the difference between the law of charges...Ch. 8.1 - Prob. 2PQCh. 8.2 - Prob. 1PQCh. 8.2 - Prob. 2PQCh. 8.2 - A coffeemaker draws 10 A of current operating at...Ch. 8.3 - Prob. 1PQCh. 8.3 - Prob. 2PQCh. 8.3 - Prob. 8.2CECh. 8.4 - How are the law of poles and the law of charges...Ch. 8.4 - Where is the Earth's north magnetic pole located?
Ch. 8.5 - What are the two basic principles of...Ch. 8.5 - What's the difference between a motor and a...Ch. 8.5 - Prob. 8.3CECh. 8 - KEY TERMS 1. electric charge (8.1) 2. electrons 3....Ch. 8 - Prob. BMCh. 8 - Prob. CMCh. 8 - Prob. DMCh. 8 - Prob. EMCh. 8 - Prob. FMCh. 8 - Prob. GMCh. 8 - Prob. HMCh. 8 - Prob. IMCh. 8 - Prob. JMCh. 8 - Prob. KMCh. 8 - Prob. LMCh. 8 - Prob. MMCh. 8 - Prob. NMCh. 8 - Prob. OMCh. 8 - Prob. PMCh. 8 - Prob. QMCh. 8 - Prob. RMCh. 8 - Prob. SMCh. 8 - Prob. TMCh. 8 - Prob. UMCh. 8 - Prob. VMCh. 8 - Prob. WMCh. 8 - Prob. XMCh. 8 - Prob. YMCh. 8 - Which of the following has a positive (+) charge?...Ch. 8 - Two equal positive charges are placed equidistant...Ch. 8 - In a dc circuit, how do electrons move? (8.2) (a)...Ch. 8 - What is a unit of voltage? (8.2) (a) joule (b)...Ch. 8 - The ohm is another name for which of the...Ch. 8 - Appliances with heating elements require which of...Ch. 8 - The greatest equivalent resistance occurs when...Ch. 8 - Prob. 8MCCh. 8 - Prob. 9MCCh. 8 - Prob. 10MCCh. 8 - What type of energy conversion does a motor...Ch. 8 - What type of energy conversion does a generator...Ch. 8 - Prob. 13MCCh. 8 - A transformer with more windings on the primary...Ch. 8 - Prob. 1FIBCh. 8 - ___ are neither good conductors nor good...Ch. 8 - Prob. 3FIBCh. 8 - Voltage is defined as work per___. (8.2)Ch. 8 - An electric circuit that is not a complete path is...Ch. 8 - Prob. 6FIBCh. 8 - Prob. 7FIBCh. 8 - Prob. 8FIBCh. 8 - Prob. 9FIBCh. 8 - Prob. 10FIBCh. 8 - Prob. 11FIBCh. 8 - Prob. 12FIBCh. 8 - Prob. 1SACh. 8 - A large charge +Q and a small charge q are a short...Ch. 8 - Explain how a charged rubber comb attracts bits of...Ch. 8 - Why do clothes sometimes stick together when...Ch. 8 - Prob. 5SACh. 8 - Prob. 6SACh. 8 - Prob. 7SACh. 8 - If the drift velocity in a conductor is so small,...Ch. 8 - Prob. 9SACh. 8 - Why are home appliances connected in parallel...Ch. 8 - Compare the safety features of (a) fuses, (b)...Ch. 8 - Prob. 12SACh. 8 - Sometimes resistances in a circuit are described...Ch. 8 - Why do iron filings show magnetic field patterns?Ch. 8 - Compare the law of charges and the law of poles.Ch. 8 - Prob. 16SACh. 8 - What is the principle of an electromagnet?Ch. 8 - (a) What does the Earths magnetic field resemble,...Ch. 8 - Describe the basic principle of a dc electric...Ch. 8 - What happens (a) when a proton moves parallel to a...Ch. 8 - Prob. 21SACh. 8 - Prob. 22SACh. 8 - Prob. 23SACh. 8 - Body injury from electricity depends on the...Ch. 8 - Prob. 1VCCh. 8 - Prob. 1AYKCh. 8 - Prob. 2AYKCh. 8 - Answer both parts of Question 2 for a charge of +1...Ch. 8 - An old saying about electrical safety states that...Ch. 8 - Prob. 5AYKCh. 8 - Prob. 6AYKCh. 8 - Prob. 7AYKCh. 8 - Suppose you are on an expedition to locate the...Ch. 8 - How many electrons make up one coulomb of charge?...Ch. 8 - An object has one million more electrons than...Ch. 8 - What are the forces on two charges of +0.60 C and...Ch. 8 - Find the force of electrical attraction between a...Ch. 8 - There is a net passage of 4.8 1018 electrons by a...Ch. 8 - A current of 1.50 A flows in a conductor for 6.5...Ch. 8 - To separate a 0.25-C charge from another charge,...Ch. 8 - Prob. 8ECh. 8 - If an electrical component with a resistance of 50...Ch. 8 - What battery voltage is necessary to supply 0.50 A...Ch. 8 - A car radio draws 0.25 A of current in the autos...Ch. 8 - A flashlight uses batteries that add up to 3.0 V...Ch. 8 - How much does it cost to run a 1500-W hair dryer...Ch. 8 - Prob. 14ECh. 8 - A 24- component is connected to a 12-V battery....Ch. 8 - Prob. 16ECh. 8 - The heating element of an iron operates at 110 V...Ch. 8 - A 100-W light bulb is turned on. It has an...Ch. 8 - Two resistors with values of 25 and 35 ,...Ch. 8 - Prob. 20ECh. 8 - A student in the laboratory connects a 10-...Ch. 8 - Prob. 22ECh. 8 - A 30.0- resistor and a 60.0- resistor in series...Ch. 8 - A 30.0- resistor and a 60.0- resistor in parallel...Ch. 8 - Prob. 25ECh. 8 - A transformer has 600 turns on its primary and 200...Ch. 8 - A transformer with 1000 turns in its primary coil...Ch. 8 - A power company transmits current through a...
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